The electric potential at points in an xy plane is given by V = (1.60 V/m²)x² -(3.60 V/m²)y2. What are (a) the magnitude of the electric field at the point (3.10 m, 2.10 m) and (b) the angle that the field there makes with the positive x direction.
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![The electric potential at points in an xy plane is given by V = (1.60 V/m²)x² -(3.60 V/m²)y². What are (a) the magnitude of the electric
field at the point (3.10 m, 2.10 m) and (b) the angle that the field there makes with the positive x direction.
(a) Number
(b) Number
i
Units
Units](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F018dde93-f85e-4b68-97c4-7858fe4b7f30%2F5434fee2-081e-442c-89c7-c3d10a6c3556%2Fq741fy_processed.jpeg&w=3840&q=75)
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- Oppositely charged parallel plates are separated by 5.00 mm. A potential difference of 600 V exists between the plates. (a) What is the magnitude of the electric field between the plates? N/C (b) What is the magnitude of the force on an electron between the plates? N (c) How much work must be done on the electron to move it to the negative plate if it is initially positioned 3.00 mm from the positive plate? JIn a certain region electric field of magnitude E oriented along x direction is observed. Electric potential at the origin is measured to be Vo 2000 V. Electric potential at point P = (2.0, 0.0) m is equal to Vp 1000 V. What can you tell about the electric field in this region? Electric field points in +x direction |E| = 500 N/C |E| 2000 N/C Electric field points in -x direction.What is the magnitude of the electric field at the point (4.00 î - 9.00 ĵ + 3.90 k̂) m if the electric potential is given by V = 3.20xyz2, where V is in volts and x, y, and z are in meters?
- The electric field in a region of space is described by E = <25.0x, 0,0> (N/C). An object moves from an initial lcoation on the y-axis at y = 0.750m to a final location on the x-axis at x = 1.250m. Calculate the change in electric potential.Over a certain region of space, the electric potential is V = 7x - 2x2y + 2yz2. Find the expression for the x component of the electric field over this region. (Use the following as necessary: x, y, and z.) Ex = Find the expression for the y component of the electric field over this region. Ey = Find the expression for the z component of the electric field over this region. Ez = What is the magnitude of the field at the point P, which has coordinates (7, 0, -7) m? N/CThe electric potential V in a region of space is given by V(x, y, z) = A(x² – 3y² + z?) where A = 4.00x103 J/(C-m²). a) What is the electric field at the point (1.00 m, 1.00 m, 1.00 m)? b) If an 8.854 x 10-12 kg test charge of +1.50 µC were placed at the point (0, 0, 1.00 m) and released from rest, will it move toward the origin or away from the origin? Explain. c) After starting from rest at the point (0, 0, 1.00 m), what will be the speed of the test charge after it has traveled 1.00 m along the z-axis?
- 4 charges, each 2 nC worth of charge, are arranged on the 4 corners of a square. The side length of the square is 1 meter. What is the electric potential in the center?A point charge of 25 µC is located at the the center of a thin spherical shell of 10 cm radius. This shell is uniformly charged with 11 µC. Find the electric field at r=5 cm and r=15. E1 = V/m, E2= V/m. What is the electric potential at these points? V1 = V, V2= V.A parallel-plate capacitor has an area of 2.00 cm2, and the plates are separated by 2.00 mm with air between them. The capacitor stores a charge of 500 pC. (a) What is the potential difference across the plates of the capacitor? V(b) What is the magnitude of the uniform electric field in the region between the plates? N/C